- Timestamp:
- 2014-05-12T22:46:18+02:00 (10 years ago)
- File:
-
- 1 edited
Legend:
- Unmodified
- Added
- Removed
-
branches/2013/dev_r4028_CNRS_LIM3/NEMOGCM/NEMO/LIM_SRC_3/limthd_dh.F90
r4332 r4634 6 6 !! History : LIM ! 2003-05 (M. Vancoppenolle) Original code in 1D 7 7 !! ! 2005-06 (M. Vancoppenolle) 3D version 8 !! 3.2 ! 2009-07 (M. Vancoppenolle, Y. Aksenov, G. Madec) bug correction in rdm_snw & rdm_ice8 !! 3.2 ! 2009-07 (M. Vancoppenolle, Y. Aksenov, G. Madec) bug correction in wfx_snw & wfx_ice 9 9 !! 3.4 ! 2011-02 (G. Madec) dynamical allocation 10 10 !! 3.5 ! 2012-10 (G. Madec & co) salt flux + bug fixes … … 26 26 USE wrk_nemo ! work arrays 27 27 USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) 28 28 USE cpl_oasis3, ONLY : lk_cpl 29 29 30 IMPLICIT NONE 30 31 PRIVATE … … 34 35 REAL(wp) :: epsi20 = 1.e-20 ! constant values 35 36 REAL(wp) :: epsi10 = 1.e-10 ! 36 REAL(wp) :: epsi13 = 1.e-13 !37 REAL(wp) :: zzero = 0._wp !38 REAL(wp) :: zone = 1._wp !39 37 40 38 !!---------------------------------------------------------------------- … … 74 72 INTEGER :: ji , jk ! dummy loop indices 75 73 INTEGER :: ii, ij ! 2D corresponding indices to ji 76 INTEGER :: isnow ! switch for presence (1) or absence (0) of snow77 INTEGER :: isnowic ! snow ice formation not78 74 INTEGER :: i_ice_switch ! ice thickness above a certain treshold or not 79 75 INTEGER :: iter 80 76 81 REAL(wp) :: zzfmass_i, zihgnew ! local scalar 82 REAL(wp) :: zzfmass_s, zhsnew, ztmelts ! local scalar 83 REAL(wp) :: zhn, zdhcf, zdhbf, zhni, zhnfi, zihg ! 84 REAL(wp) :: zdhnm, zhnnew, zhisn, zihic, zzc ! 77 REAL(wp) :: ztmelts ! local scalar 78 REAL(wp) :: zdh, zfdum ! 85 79 REAL(wp) :: zfracs ! fractionation coefficient for bottom salt entrapment 86 80 REAL(wp) :: zcoeff ! dummy argument for snowfall partitioning over ice and leads 87 REAL(wp) :: zs m_snowice! snow-ice salinity81 REAL(wp) :: zs_snic ! snow-ice salinity 88 82 REAL(wp) :: zswi1 ! switch for computation of bottom salinity 89 83 REAL(wp) :: zswi12 ! switch for computation of bottom salinity 90 84 REAL(wp) :: zswi2 ! switch for computation of bottom salinity 91 85 REAL(wp) :: zgrr ! bottom growth rate 92 REAL(wp) :: ztform ! bottom formation temperature 93 ! 94 REAL(wp), POINTER, DIMENSION(:) :: zh_i ! ice layer thickness 86 REAL(wp) :: zt_i_new ! bottom formation temperature 87 88 REAL(wp) :: zQm ! enthalpy exchanged with the ocean (J/m2), >0 towards the ocean 89 REAL(wp) :: zEi ! specific enthalpy of sea ice (J/kg) 90 REAL(wp) :: zEw ! specific enthalpy of exchanged water (J/kg) 91 REAL(wp) :: zdE ! specific enthalpy difference (J/kg) 92 REAL(wp) :: zfmdt ! exchange mass flux x time step (J/m2), >0 towards the ocean 93 REAL(wp) :: zsstK ! SST in Kelvin 94 95 95 REAL(wp), POINTER, DIMENSION(:) :: zh_s ! snow layer thickness 96 REAL(wp), POINTER, DIMENSION(:) :: ztfs ! melting point 97 REAL(wp), POINTER, DIMENSION(:) :: zhsold ! old snow thickness 98 REAL(wp), POINTER, DIMENSION(:) :: zqprec ! energy of fallen snow 99 REAL(wp), POINTER, DIMENSION(:) :: zqfont_su ! incoming, remaining surface energy 100 REAL(wp), POINTER, DIMENSION(:) :: zqfont_bo ! incoming, bottom energy 101 REAL(wp), POINTER, DIMENSION(:) :: z_f_surf ! surface heat for ablation 102 REAL(wp), POINTER, DIMENSION(:) :: zhgnew ! new ice thickness 103 REAL(wp), POINTER, DIMENSION(:) :: zfmass_i ! 96 REAL(wp), POINTER, DIMENSION(:) :: zqprec ! energy of fallen snow (J.m-3) 97 REAL(wp), POINTER, DIMENSION(:) :: zq_su ! heat for surface ablation (J.m-2) 98 REAL(wp), POINTER, DIMENSION(:) :: zq_bo ! heat for bottom ablation (J.m-2) 99 REAL(wp), POINTER, DIMENSION(:) :: zq_1cat ! corrected heat in case 1-cat and hmelt>15cm (J.m-2) 100 REAL(wp), POINTER, DIMENSION(:) :: zq_rema ! remaining heat at the end of the routine (J.m-2) 101 REAL(wp), POINTER, DIMENSION(:) :: zf_tt ! Heat budget to determine melting or freezing(W.m-2) 102 INTEGER , POINTER, DIMENSION(:) :: icount ! number of layers vanished by melting 104 103 105 104 REAL(wp), POINTER, DIMENSION(:) :: zdh_s_mel ! snow melt … … 108 107 109 108 REAL(wp), POINTER, DIMENSION(:,:) :: zdeltah 110 111 ! Pathological cases 112 REAL(wp), POINTER, DIMENSION(:) :: zfdt_init ! total incoming heat for ice melt 113 REAL(wp), POINTER, DIMENSION(:) :: zfdt_final ! total remaing heat for ice melt 114 REAL(wp), POINTER, DIMENSION(:) :: zqt_i ! total ice heat content 115 REAL(wp), POINTER, DIMENSION(:) :: zqt_s ! total snow heat content 116 REAL(wp), POINTER, DIMENSION(:) :: zqt_dummy ! dummy heat content 117 118 REAL(wp), POINTER, DIMENSION(:,:) :: zqt_i_lay ! total ice heat content 109 REAL(wp), POINTER, DIMENSION(:,:) :: zh_i ! ice layer thickness 110 111 REAL(wp), POINTER, DIMENSION(:) :: zqh_i ! total ice heat content (J.m-2) 112 REAL(wp), POINTER, DIMENSION(:) :: zqh_s ! total snow heat content (J.m-2) 113 REAL(wp), POINTER, DIMENSION(:) :: zq_s ! total snow enthalpy (J.m-3) 119 114 120 115 ! mass and salt flux (clem) 121 REAL(wp) :: zdvres, zdvsur, zdvbot 122 REAL(wp), POINTER, DIMENSION(:) :: zviold, zvsold ! old ice volume... 116 REAL(wp) :: zdvres, zswitch_sal 123 117 124 118 ! Heat conservation 125 INTEGER :: num_iter_max, numce_dh 126 REAL(wp) :: meance_dh 127 REAL(wp) :: zinda 128 REAL(wp), POINTER, DIMENSION(:) :: zinnermelt 129 REAL(wp), POINTER, DIMENSION(:) :: zfbase, zdq_i 119 INTEGER :: num_iter_max 120 REAL(wp) :: zinda, zindq, zindh 121 REAL(wp), POINTER, DIMENSION(:) :: zintermelt ! debug 122 130 123 !!------------------------------------------------------------------ 131 124 132 CALL wrk_alloc( jpij, zh_i, zh_s, ztfs, zhsold, zqprec, zqfont_su, zqfont_bo, z_f_surf, zhgnew, zfmass_i ) 133 CALL wrk_alloc( jpij, zdh_s_mel, zdh_s_pre, zdh_s_sub, zfdt_init, zfdt_final, zqt_i, zqt_s, zqt_dummy ) 134 CALL wrk_alloc( jpij, zinnermelt, zfbase, zdq_i ) 135 CALL wrk_alloc( jpij, jkmax, zdeltah, zqt_i_lay ) 136 137 CALL wrk_alloc( jpij, zviold, zvsold ) ! clem 125 ! Discriminate between varying salinity (num_sal=2) and prescribed cases (other values) 126 SELECT CASE( num_sal ) ! varying salinity or not 127 CASE( 1, 3, 4 ) ; zswitch_sal = 0 ! prescribed salinity profile 128 CASE( 2 ) ; zswitch_sal = 1 ! varying salinity profile 129 END SELECT 130 131 CALL wrk_alloc( jpij, zh_s, zqprec, zq_su, zq_bo, zf_tt, zq_1cat, zq_rema ) 132 CALL wrk_alloc( jpij, zdh_s_mel, zdh_s_pre, zdh_s_sub, zqh_i, zqh_s, zq_s ) 133 CALL wrk_alloc( jpij, zintermelt ) 134 CALL wrk_alloc( jpij, jkmax, zdeltah, zh_i ) 135 CALL wrk_alloc( jpij, icount ) 138 136 139 ftotal_fin(:) = 0._wp 140 zfdt_init (:) = 0._wp 141 zfdt_final(:) = 0._wp 142 143 dh_i_surf (:) = 0._wp 144 dh_i_bott (:) = 0._wp 145 dh_snowice(:) = 0._wp 146 147 DO ji = kideb, kiut 148 old_ht_i_b(ji) = ht_i_b(ji) 149 old_ht_s_b(ji) = ht_s_b(ji) 150 zviold(ji) = a_i_b(ji) * ht_i_b(ji) ! clem 151 zvsold(ji) = a_i_b(ji) * ht_s_b(ji) ! clem 152 END DO 137 dh_i_surf (:) = 0._wp ; dh_i_bott (:) = 0._wp ; dh_snowice(:) = 0._wp 138 dsm_i_se_1d(:) = 0._wp ; dsm_i_si_1d(:) = 0._wp 139 140 zqprec (:) = 0._wp ; zq_su (:) = 0._wp ; zq_bo (:) = 0._wp ; zf_tt (:) = 0._wp 141 zq_1cat(:) = 0._wp ; zq_rema(:) = 0._wp 142 143 zh_s (:) = 0._wp 144 zdh_s_pre(:) = 0._wp 145 zdh_s_mel(:) = 0._wp 146 zdh_s_sub(:) = 0._wp 147 zqh_s (:) = 0._wp 148 zqh_i (:) = 0._wp 149 150 zh_i (:,:) = 0._wp 151 zdeltah (:,:) = 0._wp 152 zintermelt(:) = 0._wp 153 icount (:) = 0 154 155 ! debug 156 dq_i(:) = 0._wp 157 dq_s(:) = 0._wp 158 159 ! initialize layer thicknesses and enthalpies 160 h_i_old (:,0:nlay_i+1) = 0._wp 161 qh_i_old(:,0:nlay_i+1) = 0._wp 162 DO jk = 1, nlay_i 163 DO ji = kideb, kiut 164 h_i_old (ji,jk) = ht_i_b(ji) / REAL( nlay_i ) 165 qh_i_old(ji,jk) = q_i_b(ji,jk) * h_i_old(ji,jk) 166 ENDDO 167 ENDDO 153 168 ! 154 169 !------------------------------------------------------------------------------! 155 ! 1) Calculate available heat for surface a blation!170 ! 1) Calculate available heat for surface and bottom ablation ! 156 171 !------------------------------------------------------------------------------! 157 172 ! 158 173 DO ji = kideb, kiut 159 isnow = INT( 1.0 - MAX( 0.0 , SIGN( 1.0 , - ht_s_b(ji) ) ) ) 160 ztfs (ji) = isnow * rtt + ( 1.0 - isnow ) * rtt 161 z_f_surf (ji) = qnsr_ice_1d(ji) + ( 1.0 - i0(ji) ) * qsr_ice_1d(ji) - fc_su(ji) 162 z_f_surf (ji) = MAX( zzero , z_f_surf(ji) ) * MAX( zzero , SIGN( zone , t_su_b(ji) - ztfs(ji) ) ) 163 zfdt_init(ji) = ( z_f_surf(ji) + MAX( fbif_1d(ji) + qlbbq_1d(ji) + fc_bo_i(ji),0.0 ) ) * rdt_ice 174 zinda = 1._wp - MAX( 0._wp , SIGN( 1._wp , - ht_s_b(ji) ) ) 175 ztmelts = zinda * rtt + ( 1._wp - zinda ) * rtt 176 177 zfdum = qns_ice_1d(ji) + ( 1._wp - i0(ji) ) * qsr_ice_1d(ji) - fc_su(ji) 178 zf_tt(ji) = fc_bo_i(ji) + fhtur_1d(ji) + fhld_1d(ji) 179 180 zq_su (ji) = MAX( 0._wp, zfdum * rdt_ice ) * MAX( 0._wp , SIGN( 1._wp, t_su_b(ji) - ztmelts ) ) 181 zq_bo (ji) = MAX( 0._wp, zf_tt(ji) * rdt_ice ) 164 182 END DO ! ji 165 183 166 zqfont_su (:) = 0._wp167 zqfont_bo (:) = 0._wp168 dsm_i_se_1d(:) = 0._wp169 dsm_i_si_1d(:) = 0._wp170 184 ! 171 185 !------------------------------------------------------------------------------! 172 ! 2) Computing layer thicknesses and snow and sea-ice enthalpies. ! 186 ! If snow temperature is above freezing point, then snow melts 187 ! (should not happen but sometimes it does) 173 188 !------------------------------------------------------------------------------! 174 ! 175 DO ji = kideb, kiut ! Layer thickness 176 zh_i(ji) = ht_i_b(ji) / REAL( nlay_i ) 189 DO ji = kideb, kiut 190 IF( t_s_b(ji,1) > rtt ) THEN !!! Internal melting 191 ! Contribution to heat flux to the ocean [W.m-2], < 0 192 hfx_res_1d(ji) = hfx_res_1d(ji) + q_s_b(ji,1) * ht_s_b(ji) * a_i_b(ji) * r1_rdtice 193 ! Contribution to mass flux 194 wfx_snw_1d(ji) = wfx_snw_1d(ji) - rhosn * ht_s_b(ji) * a_i_b(ji) * r1_rdtice 195 ! updates 196 ht_s_b(ji) = 0._wp 197 q_s_b (ji,1) = 0._wp 198 t_s_b (ji,1) = rtt 199 END IF 200 END DO 201 202 !------------------------------------------------------------! 203 ! 2) Computing layer thicknesses and enthalpies. ! 204 !------------------------------------------------------------! 205 ! 206 DO ji = kideb, kiut 177 207 zh_s(ji) = ht_s_b(ji) / REAL( nlay_s ) 178 208 END DO 179 209 ! 180 zqt_s(:) = 0._wp ! Total enthalpy of the snow181 210 DO jk = 1, nlay_s 182 211 DO ji = kideb, kiut 183 zq t_s(ji) = zqt_s(ji) + q_s_b(ji,jk) * ht_s_b(ji) / REAL( nlay_s)212 zqh_s(ji) = zqh_s(ji) + q_s_b(ji,jk) * zh_s(ji) 184 213 END DO 185 214 END DO 186 215 ! 187 zqt_i(:) = 0._wp ! Total enthalpy of the ice188 216 DO jk = 1, nlay_i 189 217 DO ji = kideb, kiut 190 zzc = q_i_b(ji,jk) * ht_i_b(ji) / REAL( nlay_i ) 191 zqt_i(ji) = zqt_i(ji) + zzc 192 zqt_i_lay(ji,jk) = zzc 218 zh_i(ji,jk) = ht_i_b(ji) / REAL( nlay_i ) 219 zqh_i(ji) = zqh_i(ji) + q_i_b(ji,jk) * zh_i(ji,jk) 193 220 END DO 194 221 END DO … … 212 239 ! Martin Vancoppenolle, December 2006 213 240 214 ! Snow fall 215 DO ji = kideb, kiut 216 zcoeff = ( 1.0 - ( 1.0 - at_i_b(ji) )**betas ) / at_i_b(ji) 241 DO ji = kideb, kiut 242 !----------- 243 ! Snow fall 244 !----------- 245 ! thickness change 246 zcoeff = ( 1._wp - ( 1._wp - at_i_b(ji) )**betas ) / at_i_b(ji) 217 247 zdh_s_pre(ji) = zcoeff * sprecip_1d(ji) * rdt_ice / rhosn 218 END DO 219 zdh_s_mel(:) = 0._wp 220 221 ! Melt of fallen snow 222 DO ji = kideb, kiut 223 ! tatm_ice is now in K 224 zqprec (ji) = rhosn * ( cpic * ( rtt - tatm_ice_1d(ji) ) + lfus ) 225 zqfont_su(ji) = z_f_surf(ji) * rdt_ice 226 zdeltah (ji,1) = MIN( 0.e0 , - zqfont_su(ji) / MAX( zqprec(ji) , epsi13 ) ) 227 zqfont_su(ji) = MAX( 0.e0 , - zdh_s_pre(ji) - zdeltah(ji,1) ) * zqprec(ji) 228 zdeltah (ji,1) = MAX( - zdh_s_pre(ji) , zdeltah(ji,1) ) 229 zdh_s_mel(ji) = zdh_s_mel(ji) + zdeltah(ji,1) 230 ! heat conservation 231 qt_s_in(ji,jl) = qt_s_in(ji,jl) + zqprec(ji) * zdh_s_pre(ji) 232 zqt_s (ji) = zqt_s (ji) + zqprec(ji) * zdh_s_pre(ji) 233 zqt_s (ji) = MAX( zqt_s(ji) - zqfont_su(ji) , 0.e0 ) 234 END DO 235 236 237 ! Snow melt due to surface heat imbalance 248 ! enthalpy of the precip (>0, J.m-3) (tatm_ice is now in K) 249 zqprec (ji) = rhosn * ( cpic * ( rtt - MIN( tatm_ice_1d(ji), rt0_snow) ) + lfus ) 250 IF( sprecip_1d(ji) == 0._wp ) zqprec(ji) = 0._wp 251 ! heat flux from snow precip (>0, W.m-2) 252 hfx_spr_1d(ji) = hfx_spr_1d(ji) + zdh_s_pre(ji) * a_i_b(ji) * zqprec(ji) * r1_rdtice 253 ! update thickness 254 ht_s_b (ji) = MAX( 0._wp , ht_s_b(ji) + zdh_s_pre(ji) ) 255 256 !--------------------- 257 ! Melt of falling snow 258 !--------------------- 259 ! thickness change 260 zindq = 1._wp - MAX( 0._wp , SIGN( 1._wp , - zqprec(ji) + epsi20 ) ) 261 zdh_s_mel (ji) = - zindq * zq_su(ji) / MAX( zqprec(ji) , epsi20 ) 262 zdh_s_mel (ji) = MAX( - zdh_s_pre(ji), zdh_s_mel(ji) ) ! bound melting 263 ! Heat flux associated with snow melt of falling snow (W.m-2, <0) 264 hfx_snw_1d(ji) = hfx_snw_1d(ji) + zdh_s_mel(ji) * a_i_b(ji) * zqprec(ji) * r1_rdtice 265 ! heat used to melt snow (W.m-2, >0) 266 hfx_tot_1d(ji) = hfx_tot_1d(ji) - zdh_s_mel(ji) * a_i_b(ji) * zqprec(ji) * r1_rdtice 267 ! snow melting only = water into the ocean (then without snow precip) 268 wfx_snw_1d(ji) = wfx_snw_1d(ji) + rhosn * a_i_b(ji) * zdh_s_mel(ji) * r1_rdtice 269 270 ! updates available heat + thickness 271 zq_su (ji) = MAX( 0._wp , zq_su (ji) + zdh_s_mel(ji) * zqprec(ji) ) 272 ht_s_b(ji) = MAX( 0._wp , ht_s_b(ji) + zdh_s_mel(ji) ) 273 zh_s (ji) = ht_s_b(ji) / REAL( nlay_s ) 274 275 ! clem debug: variation of enthalpy (J.m-2) 276 dq_s(ji) = dq_s(ji) + ( zdh_s_pre(ji) + zdh_s_mel(ji) ) * zqprec(ji) 277 278 END DO 279 280 ! If heat still available, then melt more snow 281 zdeltah(:,:) = 0._wp ! important 238 282 DO jk = 1, nlay_s 239 283 DO ji = kideb, kiut 240 zdeltah (ji,jk) = - zqfont_su(ji) / q_s_b(ji,jk) 241 zqfont_su(ji) = MAX( 0.0 , - zh_s(ji) - zdeltah(ji,jk) ) * q_s_b(ji,jk) 242 zdeltah (ji,jk) = MAX( zdeltah(ji,jk) , - zh_s(ji) ) 243 zdh_s_mel(ji) = zdh_s_mel(ji) + zdeltah(ji,jk) ! resulting melt of snow 284 ! thickness change 285 zindh = 1._wp - MAX( 0._wp, SIGN( 1._wp, - ht_s_b(ji) ) ) 286 zindq = 1._wp - MAX( 0._wp, SIGN( 1._wp, - q_s_b(ji,jk) + epsi20 ) ) 287 zdeltah (ji,jk) = - zindh * zindq * zq_su(ji) / MAX( q_s_b(ji,jk), epsi20 ) 288 zdeltah (ji,jk) = MAX( zdeltah(ji,jk) , - zh_s(ji) ) ! bound melting 289 zdh_s_mel(ji) = zdh_s_mel(ji) + zdeltah(ji,jk) 290 ! heat flux associated with snow melt(W.m-2, <0) 291 hfx_snw_1d(ji) = hfx_snw_1d(ji) + zdeltah(ji,jk) * a_i_b(ji) * q_s_b(ji,jk) * r1_rdtice 292 ! heat used to melt snow(W.m-2, >0) 293 hfx_tot_1d(ji) = hfx_tot_1d(ji) - zdeltah(ji,jk) * a_i_b(ji) * q_s_b(ji,jk) * r1_rdtice 294 ! snow melting only = water into the ocean (then without snow precip) 295 wfx_snw_1d(ji) = wfx_snw_1d(ji) + rhosn * a_i_b(ji) * zdeltah(ji,jk) * r1_rdtice 296 297 ! updates available heat + thickness 298 zq_su (ji) = MAX( 0._wp , zq_su (ji) + zdeltah(ji,jk) * q_s_b(ji,jk) ) 299 ht_s_b(ji) = MAX( 0._wp , ht_s_b(ji) + zdeltah(ji,jk) ) 300 301 ! clem debug: variation of enthalpy (J.m-2) 302 dq_s(ji) = dq_s(ji) + zdeltah(ji,jk) * q_s_b(ji,jk) 244 303 END DO 245 304 END DO 246 305 247 ! Apply snow melt to snow depth 248 DO ji = kideb, kiut 249 dh_s_tot(ji) = zdh_s_mel(ji) + zdh_s_pre(ji) 250 ! Old and new snow depths 251 zhsold(ji) = ht_s_b(ji) 252 zhsnew = ht_s_b(ji) + dh_s_tot(ji) 253 ! If snow is still present zhn = 1, else zhn = 0 254 zhn = 1.0 - MAX( zzero , SIGN( zone , - zhsnew ) ) 255 ht_s_b(ji) = MAX( zzero , zhsnew ) 256 ! we recompute dh_s_tot (clem) 257 dh_s_tot (ji) = ht_s_b(ji) - zhsold(ji) 258 ! Volume and mass variations of snow 259 dvsbq_1d (ji) = a_i_b(ji) * ( ht_s_b(ji) - zhsold(ji) - zdh_s_pre(ji) ) 260 dvsbq_1d (ji) = MIN( zzero, dvsbq_1d(ji) ) 261 !clem rdm_snw_1d(ji) = rdm_snw_1d(ji) + rhosn * dvsbq_1d(ji) 306 !---------------------- 307 ! 3.2 Snow sublimation 308 !---------------------- 309 ! qla_ice is always >=0 (upwards), heat goes to the atmosphere, therefore snow sublimates 310 IF( lk_cpl ) THEN 311 ! coupled mode: sublimation already included in emp_ice (to do in limsbc_ice) 312 zdh_s_sub(:) = 0._wp 313 ELSE 314 ! forced mode: snow thickness change due to sublimation 315 DO ji = kideb, kiut 316 zdh_s_sub(ji) = MAX( - ht_s_b(ji) , - parsub * qla_ice_1d(ji) / ( rhosn * lsub ) * rdt_ice ) 317 ! Heat flux by sublimation [W.m-2], < 0 318 ! sublimate first snow that had fallen, then pre-existing snow 319 zcoeff = ( MAX( zdh_s_sub(ji), - MAX( 0._wp, zdh_s_pre(ji) + zdh_s_mel(ji) ) ) * zqprec(ji) + & 320 & ( zdh_s_sub(ji) - MAX( zdh_s_sub(ji), - MAX( 0._wp, zdh_s_pre(ji) + zdh_s_mel(ji) ) ) ) * q_s_b(ji,1) ) & 321 & * a_i_b(ji) * r1_rdtice 322 hfx_sub_1d(ji) = hfx_sub_1d(ji) + zcoeff ! diag only (to close heat budget) 323 ! heat used for sublimation (>0, W.m-2) 324 !!? hfx_tot_1d(ji) = hfx_tot_1d(ji) - zcoeff 325 ! Mass flux by sublimation 326 wfx_sub_1d(ji) = wfx_sub_1d(ji) + rhosn * a_i_b(ji) * zdh_s_sub(ji) * r1_rdtice ! diag only 327 wfx_snw_1d(ji) = wfx_snw_1d(ji) + rhosn * a_i_b(ji) * zdh_s_sub(ji) * r1_rdtice 328 ! new snow thickness 329 ht_s_b(ji) = MAX( 0._wp , ht_s_b(ji) + zdh_s_sub(ji) ) 330 ! clem debug: variation of enthalpy (J.m-2) 331 dq_s(ji) = dq_s(ji) + zdh_s_sub(ji) * q_s_b(ji,1) 332 END DO 333 ENDIF 334 335 ! --- Update snow diags --- ! 336 DO ji = kideb, kiut 337 dh_s_tot(ji) = zdh_s_mel(ji) + zdh_s_pre(ji) + zdh_s_sub(ji) 338 zh_s(ji) = ht_s_b(ji) / REAL( nlay_s ) 262 339 END DO ! ji 263 340 341 !------------------------------------------- 342 ! 3.3 Update temperature, energy 343 !------------------------------------------- 344 ! new temp and enthalpy of the snow (remaining snow precip + remaining pre-existing snow) 345 zq_s(:) = 0._wp 346 DO jk = 1, nlay_s 347 DO ji = kideb,kiut 348 zindh = MAX( 0._wp , SIGN( 1._wp, - ht_s_b(ji) + epsi20 ) ) 349 q_s_b(ji,jk) = ( 1._wp - zindh ) / MAX( ht_s_b(ji), epsi20 ) * & 350 & ( ( MAX( 0._wp, dh_s_tot(ji) ) ) * zqprec(ji) + & 351 & ( - MAX( 0._wp, dh_s_tot(ji) ) + ht_s_b(ji) ) * rhosn * ( cpic * ( rtt - t_s_b(ji,jk) ) + lfus ) ) 352 zq_s(ji) = zq_s(ji) + q_s_b(ji,jk) 353 END DO 354 END DO 355 264 356 !-------------------------- 265 ! 3. 2Surface ice ablation357 ! 3.4 Surface ice ablation 266 358 !-------------------------- 267 DO ji = kideb, kiut 268 z_f_surf (ji) = zqfont_su(ji) * r1_rdtice ! heat conservation test 269 zdq_i (ji) = 0._wp 270 END DO ! ji 271 359 zdeltah(:,:) = 0._wp ! important 272 360 DO jk = 1, nlay_i 273 361 DO ji = kideb, kiut 274 ! ! melt of layer jk 275 zdeltah (ji,jk) = - zqfont_su(ji) / q_i_b(ji,jk) 276 ! ! recompute heat available 277 zqfont_su(ji ) = MAX( 0.0 , - zh_i(ji) - zdeltah(ji,jk) ) * q_i_b(ji,jk) 278 ! ! melt of layer jk cannot be higher than its thickness 279 zdeltah (ji,jk) = MAX( zdeltah(ji,jk) , - zh_i(ji) ) 280 ! ! update surface melt 281 dh_i_surf(ji ) = dh_i_surf(ji) + zdeltah(ji,jk) 282 ! ! for energy conservation 283 zdq_i (ji ) = zdq_i(ji) + zdeltah(ji,jk) * q_i_b(ji,jk) * r1_rdtice 284 ! 285 ! clem 286 sfx_thd_1d(ji) = sfx_thd_1d(ji) - sm_i_b(ji) * a_i_b(ji) & 287 & * MIN( zdeltah(ji,jk) , 0._wp ) * rhoic / rdt_ice 362 zEi = - q_i_b(ji,jk) / rhoic ! Specific enthalpy of layer k [J/kg, <0] 363 364 ztmelts = - tmut * s_i_b(ji,jk) + rtt ! Melting point of layer k [K] 365 366 zEw = rcp * ( ztmelts - rt0 ) ! Specific enthalpy of resulting meltwater [J/kg, <0] 367 368 zdE = zEi - zEw ! Specific enthalpy difference < 0 369 370 zfmdt = - zq_su(ji) / zdE ! Mass flux to the ocean [kg/m2, >0] 371 372 zdeltah(ji,jk) = - zfmdt / rhoic ! Melt of layer jk [m, <0] 373 374 zdeltah(ji,jk) = MIN( 0._wp , MAX( zdeltah(ji,jk) , - zh_i(ji,jk) ) ) ! Melt of layer jk cannot exceed the layer thickness [m, <0] 375 376 zq_su(ji) = MAX( 0._wp , zq_su(ji) - zdeltah(ji,jk) * rhoic * zdE ) ! update available heat 377 378 dh_i_surf(ji) = dh_i_surf(ji) + zdeltah(ji,jk) ! Cumulate surface melt 379 380 zfmdt = - rhoic * zdeltah(ji,jk) ! Recompute mass flux [kg/m2, >0] 381 382 zQm = zfmdt * zEw ! Energy of the melt water sent to the ocean [J/m2, <0] 383 384 ! Contribution to salt flux (clem: using sm_i_b and not s_i_b(jk) is ok) 385 sfx_sum_1d(ji) = sfx_sum_1d(ji) - sm_i_b(ji) * a_i_b(ji) * zdeltah(ji,jk) * rhoic * r1_rdtice 386 387 ! Contribution to heat flux [W.m-2], < 0 388 hfx_thd_1d(ji) = hfx_thd_1d(ji) + zfmdt * a_i_b(ji) * zEw * r1_rdtice 389 390 ! Total heat flux used in this process [W.m-2], < 0 391 hfx_tot_1d(ji) = hfx_tot_1d(ji) - zfmdt * a_i_b(ji) * zdE * r1_rdtice 392 393 ! Contribution to mass flux 394 wfx_sum_1d(ji) = wfx_sum_1d(ji) + rhoic * a_i_b(ji) * zdeltah(ji,jk) * r1_rdtice 395 396 ! record which layers have disappeared (for bottom melting) 397 ! => icount=0 : no layer has vanished 398 ! => icount=5 : 5 layers have vanished 399 zindh = NINT( MAX( 0._wp , SIGN( 1._wp , - ( zh_i(ji,jk) + zdeltah(ji,jk) ) ) ) ) 400 icount(ji) = icount(ji) + zindh 401 zh_i(ji,jk) = MAX( 0._wp , zh_i(ji,jk) + zdeltah(ji,jk) ) 402 403 ! clem debug: variation of enthalpy (J.m-2) 404 dq_i(ji) = dq_i(ji) + zdeltah(ji,jk) * q_i_b(ji,jk) 405 406 ! update heat content (J.m-2) and layer thickness 407 qh_i_old(ji,jk) = qh_i_old(ji,jk) + zdeltah(ji,jk) * q_i_b(ji,jk) 408 h_i_old (ji,jk) = h_i_old (ji,jk) + zdeltah(ji,jk) 288 409 END DO 289 410 END DO 290 291 ! !------------------- 292 IF( con_i .AND. jiindex_1d > 0 ) THEN ! Conservation test 293 ! !------------------- 294 numce_dh = 0 295 meance_dh = 0._wp 296 DO ji = kideb, kiut 297 IF ( ( z_f_surf(ji) + zdq_i(ji) ) .GE. 1.0e-3 ) THEN 298 numce_dh = numce_dh + 1 299 meance_dh = meance_dh + z_f_surf(ji) + zdq_i(ji) 300 ENDIF 301 IF( z_f_surf(ji) + zdq_i(ji) .GE. 1.0e-3 ) THEN! 302 WRITE(numout,*) ' ALERTE heat loss for surface melt ' 303 WRITE(numout,*) ' ii, ij, jl :', ii, ij, jl 304 WRITE(numout,*) ' ht_i_b : ', ht_i_b(ji) 305 WRITE(numout,*) ' z_f_surf : ', z_f_surf(ji) 306 WRITE(numout,*) ' zdq_i : ', zdq_i(ji) 307 WRITE(numout,*) ' ht_i_b : ', ht_i_b(ji) 308 WRITE(numout,*) ' fc_bo_i : ', fc_bo_i(ji) 309 WRITE(numout,*) ' fbif_1d : ', fbif_1d(ji) 310 WRITE(numout,*) ' qlbbq_1d : ', qlbbq_1d(ji) 311 WRITE(numout,*) ' s_i_new : ', s_i_new(ji) 312 WRITE(numout,*) ' sss_m : ', sss_m(ii,ij) 313 ENDIF 314 END DO 315 ! 316 IF( numce_dh > 0 ) meance_dh = meance_dh / numce_dh 317 WRITE(numout,*) ' Error report - Category : ', jl 318 WRITE(numout,*) ' ~~~~~~~~~~~~ ' 319 WRITE(numout,*) ' Number of points where there is sur. me. error : ', numce_dh 320 WRITE(numout,*) ' Mean basal growth error on error points : ', meance_dh 321 ! 322 ENDIF 323 324 !---------------------- 325 ! 3.3 Snow sublimation 326 !---------------------- 327 328 DO ji = kideb, kiut 329 ! qla_ice is always >=0 (upwards), heat goes to the atmosphere, therefore snow sublimates 330 #if defined key_coupled 331 zdh_s_sub(ji) = 0._wp ! coupled mode: sublimation already included in emp_ice (to do in limsbc_ice) 332 #else 333 ! ! forced mode: snow thickness change due to sublimation 334 zdh_s_sub(ji) = - parsub * qla_ice_1d(ji) / ( rhosn * lsub ) * rdt_ice 335 #endif 336 dh_s_tot (ji) = dh_s_tot(ji) + zdh_s_sub(ji) 337 zdhcf = ht_s_b(ji) + zdh_s_sub(ji) 338 ht_s_b (ji) = MAX( zzero , zdhcf ) 339 ! we recompute dh_s_tot 340 dh_s_tot (ji) = ht_s_b(ji) - zhsold(ji) 341 qt_s_in (ji,jl) = qt_s_in(ji,jl) + zdh_s_sub(ji)*q_s_b(ji,1) 342 END DO 343 344 zqt_dummy(:) = 0.e0 345 DO jk = 1, nlay_s 346 DO ji = kideb,kiut 347 q_s_b (ji,jk) = rhosn * ( cpic * ( rtt - t_s_b(ji,jk) ) + lfus ) 348 zqt_dummy(ji) = zqt_dummy(ji) + q_s_b(ji,jk) * ht_s_b(ji) / REAL( nlay_s ) ! heat conservation 349 END DO 350 END DO 351 352 DO jk = 1, nlay_s 353 DO ji = kideb, kiut 354 ! In case of disparition of the snow, we have to update the snow temperatures 355 zhisn = MAX( zzero , SIGN( zone, - ht_s_b(ji) ) ) 356 t_s_b(ji,jk) = ( 1.0 - zhisn ) * t_s_b(ji,jk) + zhisn * rtt 357 q_s_b(ji,jk) = ( 1.0 - zhisn ) * q_s_b(ji,jk) 358 END DO 411 ! update ice thickness 412 DO ji = kideb, kiut 413 ht_i_b(ji) = MAX( 0._wp , ht_i_b(ji) + dh_i_surf(ji) ) 359 414 END DO 360 415 … … 364 419 !------------------------------------------------------------------------------! 365 420 ! 366 ! Ice basal growth / melt is given by the ratio of heat budget over basal 367 ! ice heat content. Basal heat budget is given by the difference between 368 ! the inner conductive flux (fc_bo_i), from the open water heat flux 369 ! (qlbbqb) and the turbulent ocean flux (fbif). 370 ! fc_bo_i is positive downwards. fbif and qlbbq are positive to the ice 371 372 !----------------------------------------------------- 373 ! 4.1 Basal growth - (a) salinity not varying in time 374 !----------------------------------------------------- 375 IF( num_sal /= 2 ) THEN ! ice salinity constant in time 421 !------------------ 422 ! 4.1 Basal growth 423 !------------------ 424 ! Basal growth is driven by heat imbalance at the ice-ocean interface, 425 ! between the inner conductive flux (fc_bo_i), from the open water heat flux 426 ! (fhldb) and the turbulent ocean flux (fhtur). 427 ! fc_bo_i is positive downwards. fhtur and fhld are positive to the ice 428 429 ! If salinity varies in time, an iterative procedure is required, because 430 ! the involved quantities are inter-dependent. 431 ! Basal growth (dh_i_bott) depends upon new ice specific enthalpy (zEi), 432 ! which depends on forming ice salinity (s_i_new), which depends on dh/dt (dh_i_bott) 433 ! -> need for an iterative procedure, which converges quickly 434 435 IF ( num_sal == 2 ) THEN 436 num_iter_max = 5 437 ELSE 438 num_iter_max = 1 439 ENDIF 440 441 !clem debug. Just to be sure that enthalpy at nlay_i+1 is null 442 DO ji = kideb, kiut 443 q_i_b(ji,nlay_i+1) = 0._wp 444 END DO 445 446 ! Iterative procedure 447 DO iter = 1, num_iter_max 376 448 DO ji = kideb, kiut 377 IF( ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) < 0._wp ) THEN 378 s_i_new(ji) = sm_i_b(ji) 379 ! Melting point in K 380 ztmelts = - tmut * s_i_new(ji) + rtt 381 ! New ice heat content (Bitz and Lipscomb, 1999) 382 ztform = t_i_b(ji,nlay_i) ! t_bo_b crashes in the 383 ! Baltic 384 q_i_b(ji,nlay_i+1) = rhoic * ( cpic * ( ztmelts - ztform ) & 385 & + lfus * ( 1.0 - ( ztmelts - rtt ) / ( ztform - rtt ) ) & 386 & - rcp * ( ztmelts - rtt ) ) 387 ! Basal growth rate = - F*dt / q 388 dh_i_bott(ji) = - rdt_ice * ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) / q_i_b(ji,nlay_i+1) 389 sfx_thd_1d(ji) = sfx_thd_1d(ji) - s_i_new(ji) * a_i_b(ji) * dh_i_bott(ji) * rhoic * r1_rdtice 449 IF( zf_tt(ji) < 0._wp ) THEN 450 451 ! New bottom ice salinity (Cox & Weeks, JGR88 ) 452 !--- zswi1 if dh/dt < 2.0e-8 453 !--- zswi12 if 2.0e-8 < dh/dt < 3.6e-7 454 !--- zswi2 if dh/dt > 3.6e-7 455 zgrr = MIN( 1.0e-3, MAX ( dh_i_bott(ji) * r1_rdtice , epsi10 ) ) 456 zswi2 = MAX( 0._wp , SIGN( 1._wp , zgrr - 3.6e-7 ) ) 457 zswi12 = MAX( 0._wp , SIGN( 1._wp , zgrr - 2.0e-8 ) ) * ( 1.0 - zswi2 ) 458 zswi1 = 1. - zswi2 * zswi12 459 zfracs = MIN ( zswi1 * 0.12 + zswi12 * ( 0.8925 + 0.0568 * LOG( 100.0 * zgrr ) ) & 460 & + zswi2 * 0.26 / ( 0.26 + 0.74 * EXP ( - 724300.0 * zgrr ) ) , 0.5 ) 461 462 ii = MOD( npb(ji) - 1, jpi ) + 1 ; ij = ( npb(ji) - 1 ) / jpi + 1 463 464 s_i_new(ji) = zswitch_sal * zfracs * sss_m(ii,ij) & ! New ice salinity 465 + ( 1. - zswitch_sal ) * sm_i_b(ji) 466 ! New ice growth 467 ztmelts = - tmut * s_i_new(ji) + rtt ! New ice melting point (K) 468 469 zt_i_new = zswitch_sal * t_bo_b(ji) + ( 1. - zswitch_sal) * t_i_b(ji, nlay_i) 470 471 zEi = cpic * ( zt_i_new - ztmelts ) & ! Specific enthalpy of forming ice (J/kg, <0) 472 & - lfus * ( 1.0 - ( ztmelts - rtt ) / ( zt_i_new - rtt ) ) & 473 & + rcp * ( ztmelts-rtt ) 474 475 zEw = rcp * ( t_bo_b(ji) - rt0 ) ! Specific enthalpy of seawater (J/kg, < 0) 476 477 zdE = zEi - zEw ! Specific enthalpy difference (J/kg, <0) 478 479 dh_i_bott(ji) = rdt_ice * MAX( 0._wp , zf_tt(ji) / ( zdE * rhoic ) ) 480 481 q_i_b(ji,nlay_i+1) = -zEi * rhoic ! New ice energy of melting (J/m3, >0) 482 483 ENDIF ! fc_bo_i 484 END DO ! ji 485 END DO ! iter 486 487 ! Contribution to Energy and Salt Fluxes 488 DO ji = kideb, kiut 489 IF( zf_tt(ji) < 0._wp ) THEN 490 ! New ice growth 491 492 zfmdt = - rhoic * dh_i_bott(ji) ! Mass flux x time step (kg/m2, < 0) 493 494 ! Contribution to heat flux to the ocean [W.m-2], >0 495 hfx_thd_1d(ji) = hfx_thd_1d(ji) + zfmdt * a_i_b(ji) * zEw * r1_rdtice 496 ! Total heat flux used in this process [W.m-2] 497 hfx_tot_1d(ji) = hfx_tot_1d(ji) - zfmdt * a_i_b(ji) * zdE * r1_rdtice 498 499 ! Contribution to salt flux () 500 sfx_bog_1d(ji) = sfx_bog_1d(ji) + s_i_new(ji) * a_i_b(ji) * zfmdt * r1_rdtice 501 502 ! Contribution to mass flux 503 wfx_bog_1d(ji) = wfx_bog_1d(ji) + rhoic * a_i_b(ji) * dh_i_bott(ji) * r1_rdtice 504 505 ! clem debug: variation of enthalpy (J.m-2) 506 dq_i(ji) = dq_i(ji) + dh_i_bott(ji) * q_i_b(ji,nlay_i+1) 507 508 ! update heat content (J.m-2) and layer thickness 509 qh_i_old(ji,nlay_i+1) = qh_i_old(ji,nlay_i+1) + dh_i_bott(ji) * q_i_b(ji,nlay_i+1) 510 h_i_old (ji,nlay_i+1) = h_i_old (ji,nlay_i+1) + dh_i_bott(ji) 511 ENDIF 512 END DO 513 514 !---------------- 515 ! 4.2 Basal melt 516 !---------------- 517 zdeltah(:,:) = 0._wp ! important 518 DO jk = nlay_i, 1, -1 519 DO ji = kideb, kiut 520 IF( zf_tt(ji) >= 0._wp .AND. jk > icount(ji) ) THEN ! do not calculate where layer has already disappeared from surface melting 521 522 ztmelts = - tmut * s_i_b(ji,jk) + rtt ! Melting point of layer jk (K) 523 524 IF( t_i_b(ji,jk) >= ztmelts ) THEN !!! Internal melting 525 zintermelt(ji) = 1._wp 526 527 zEi = - q_i_b(ji,jk) / rhoic ! Specific enthalpy of melting ice (J/kg, <0) 528 529 !!zEw = rcp * ( t_i_b(ji,jk) - rtt ) ! Specific enthalpy of meltwater at T = t_i_b (J/kg, <0) 530 531 zdE = 0._wp ! Specific enthalpy difference (J/kg, <0) 532 ! set up at 0 since no energy is needed to melt water...(it is already melted) 533 534 zdeltah (ji,jk) = MIN( 0._wp , - zh_i(ji,jk) ) ! internal melting occurs when the internal temperature is above freezing 535 ! this should normally not happen, but sometimes, heat diffusion leads to this 536 537 dh_i_bott (ji) = dh_i_bott(ji) + zdeltah(ji,jk) 538 539 zfmdt = - zdeltah(ji,jk) * rhoic ! Mass flux x time step > 0 540 541 ! Contribution to heat flux to the ocean [W.m-2], <0 (ice enthalpy zEi is "sent" to the ocean) 542 hfx_res_1d(ji) = hfx_res_1d(ji) + zfmdt * a_i_b(ji) * zEi * r1_rdtice 543 544 ! clem debug: variation of enthalpy (J.m-2) 545 dq_i(ji) = dq_i(ji) + zdeltah(ji,jk) * q_i_b(ji,jk) 546 547 ! update heat content (J.m-2) and layer thickness 548 qh_i_old(ji,jk) = qh_i_old(ji,jk) + zdeltah(ji,jk) * q_i_b(ji,jk) 549 h_i_old (ji,jk) = h_i_old (ji,jk) + zdeltah(ji,jk) 550 551 ELSE !!! Basal melting 552 553 zEi = - q_i_b(ji,jk) / rhoic ! Specific enthalpy of melting ice (J/kg, <0) 554 555 zEw = rcp * ( ztmelts - rtt )! Specific enthalpy of meltwater (J/kg, <0) 556 557 zdE = zEi - zEw ! Specific enthalpy difference (J/kg, <0) 558 559 zfmdt = - zq_bo(ji) / zdE ! Mass flux x time step (kg/m2, >0) 560 561 zdeltah(ji,jk) = - zfmdt / rhoic ! Gross thickness change 562 563 zdeltah(ji,jk) = MIN( 0._wp , MAX( zdeltah(ji,jk), - zh_i(ji,jk) ) ) ! bound thickness change 564 565 zq_bo(ji) = MAX( 0._wp , zq_bo(ji) - zdeltah(ji,jk) * rhoic * zdE ) ! update available heat. MAX is necessary for roundup errors 566 567 dh_i_bott(ji) = dh_i_bott(ji) + zdeltah(ji,jk) ! Update basal melt 568 569 zfmdt = - zdeltah(ji,jk) * rhoic ! Mass flux x time step > 0 570 571 zQm = zfmdt * zEw ! Heat exchanged with ocean 572 573 ! Contribution to heat flux to the ocean [W.m-2], <0 574 hfx_thd_1d(ji) = hfx_thd_1d(ji) + zfmdt * a_i_b(ji) * zEw * r1_rdtice 575 576 ! clem debug: variation of enthalpy (J.m-2) 577 dq_i(ji) = dq_i(ji) + zdeltah(ji,jk) * q_i_b(ji,jk) 578 579 ! update heat content (J.m-2) and layer thickness 580 qh_i_old(ji,jk) = qh_i_old(ji,jk) + zdeltah(ji,jk) * q_i_b(ji,jk) 581 h_i_old (ji,jk) = h_i_old (ji,jk) + zdeltah(ji,jk) 582 ENDIF 583 584 ! Contribution to salt flux (clem: using sm_i_b and not s_i_b(jk) is ok) 585 sfx_bom_1d(ji) = sfx_bom_1d(ji) - sm_i_b(ji) * a_i_b(ji) * zdeltah(ji,jk) * rhoic * r1_rdtice 586 587 ! Total heat flux used in this process [W.m-2] 588 hfx_tot_1d(ji) = hfx_tot_1d(ji) - zfmdt * a_i_b(ji) * zdE * r1_rdtice 589 590 ! Contribution to mass flux 591 wfx_bom_1d(ji) = wfx_bom_1d(ji) + rhoic * a_i_b(ji) * zdeltah(ji,jk) * r1_rdtice 592 593 ENDIF 594 END DO ! ji 595 END DO ! jk 596 597 !------------------------------------------------------------------------------! 598 ! Excessive ablation in a 1-category model 599 ! in a 1-category sea ice model, bottom ablation must not exceed hmelt (-0.15) 600 !------------------------------------------------------------------------------! 601 ! ??? keep ??? 602 ! clem bug: I think this should be included above, so we would not have to 603 ! track heat/salt/mass fluxes backwards 604 IF( jpl == 1 ) THEN 605 DO ji = kideb, kiut 606 IF( zf_tt(ji) >= 0._wp ) THEN 607 zdh = MAX( hmelt , dh_i_bott(ji) ) 608 zdvres = zdh - dh_i_bott(ji) ! >=0 609 dh_i_bott(ji) = zdh 610 611 ! excessive energy is sent to lateral ablation 612 zinda = MAX( 0._wp, SIGN( 1._wp , 1._wp - at_i_b(ji) - epsi20 ) ) 613 zq_1cat(ji) = zinda * rhoic * lfus * at_i_b(ji) / MAX( 1._wp - at_i_b(ji) , epsi20 ) * zdvres ! J.m-2 >=0 614 615 ! correct salt and mass fluxes 616 sfx_bom_1d(ji) = sfx_bom_1d(ji) - sm_i_b(ji) * a_i_b(ji) * zdvres * rhoic * r1_rdtice ! this is only a raw approximation 617 wfx_bom_1d(ji) = wfx_bom_1d(ji) + rhoic * a_i_b(ji) * zdvres * r1_rdtice 390 618 ENDIF 391 619 END DO 392 620 ENDIF 393 621 394 !------------------------------------------------- 395 ! 4.1 Basal growth - (b) salinity varying in time 396 !------------------------------------------------- 397 IF( num_sal == 2 ) THEN 398 ! the growth rate (dh_i_bott) is function of the new ice heat content (q_i_b(nlay_i+1)). 399 ! q_i_b depends on the new ice salinity (snewice). 400 ! snewice depends on dh_i_bott ; it converges quickly, so, no problem 401 ! See Vancoppenolle et al., OM08 for more info on this 402 403 ! Initial value (tested 1D, can be anything between 1 and 20) 404 num_iter_max = 4 405 s_i_new(:) = 4.0 406 407 ! Iterative procedure 408 DO iter = 1, num_iter_max 409 DO ji = kideb, kiut 410 IF( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) < 0.e0 ) THEN 411 ii = MOD( npb(ji) - 1, jpi ) + 1 412 ij = ( npb(ji) - 1 ) / jpi + 1 413 ! Melting point in K 414 ztmelts = - tmut * s_i_new(ji) + rtt 415 ! New ice heat content (Bitz and Lipscomb, 1999) 416 q_i_b(ji,nlay_i+1) = rhoic * ( cpic * ( ztmelts - t_bo_b(ji) ) & 417 & + lfus * ( 1.0 - ( ztmelts - rtt ) / ( t_bo_b(ji) - rtt ) ) & 418 & - rcp * ( ztmelts-rtt ) ) 419 ! Bottom growth rate = - F*dt / q 420 dh_i_bott(ji) = - rdt_ice * ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) / q_i_b(ji,nlay_i+1) 421 ! New ice salinity ( Cox and Weeks, JGR, 1988 ) 422 ! zswi2 (1) if dh_i_bott/rdt .GT. 3.6e-7 423 ! zswi12 (1) if dh_i_bott/rdt .LT. 3.6e-7 and .GT. 2.0e-8 424 ! zswi1 (1) if dh_i_bott/rdt .LT. 2.0e-8 425 zgrr = MIN( 1.0e-3, MAX ( dh_i_bott(ji) * r1_rdtice , epsi13 ) ) 426 zswi2 = MAX( zzero , SIGN( zone , zgrr - 3.6e-7 ) ) 427 zswi12 = MAX( zzero , SIGN( zone , zgrr - 2.0e-8 ) ) * ( 1.0 - zswi2 ) 428 zswi1 = 1. - zswi2 * zswi12 429 zfracs = zswi1 * 0.12 + zswi12 * ( 0.8925 + 0.0568 * LOG( 100.0 * zgrr ) ) & 430 & + zswi2 * 0.26 / ( 0.26 + 0.74 * EXP ( - 724300.0 * zgrr ) ) 431 zfracs = MIN( 0.5 , zfracs ) 432 s_i_new(ji) = zfracs * sss_m(ii,ij) 433 ENDIF ! fc_bo_i 434 END DO ! ji 435 END DO ! iter 436 437 ! Final values 438 DO ji = kideb, kiut 439 IF( ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) .LT. 0.0 ) THEN 440 ! New ice salinity must not exceed 20 psu 441 s_i_new(ji) = MIN( s_i_new(ji), s_i_max ) 442 ! Metling point in K 443 ztmelts = - tmut * s_i_new(ji) + rtt 444 ! New ice heat content (Bitz and Lipscomb, 1999) 445 q_i_b(ji,nlay_i+1) = rhoic * ( cpic * ( ztmelts - t_bo_b(ji) ) & 446 & + lfus * ( 1.0 - ( ztmelts - rtt ) / ( t_bo_b(ji) - rtt ) ) & 447 & - rcp * ( ztmelts - rtt ) ) 448 ! Basal growth rate = - F*dt / q 449 dh_i_bott(ji) = - rdt_ice * ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) / q_i_b(ji,nlay_i+1) 450 ! Salinity update 451 ! entrapment during bottom growth 452 sfx_thd_1d(ji) = sfx_thd_1d(ji) - s_i_new(ji) * a_i_b(ji) * dh_i_bott(ji) * rhoic * r1_rdtice 453 ENDIF ! heat budget 454 END DO 455 ENDIF 456 457 !---------------- 458 ! 4.2 Basal melt 459 !---------------- 460 meance_dh = 0._wp 461 numce_dh = 0 462 zinnermelt(:) = 0._wp 463 464 DO ji = kideb, kiut 465 ! heat convergence at the surface > 0 466 IF( ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) >= 0._wp ) THEN 467 s_i_new(ji) = s_i_b(ji,nlay_i) 468 zqfont_bo(ji) = rdt_ice * ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) 469 zfbase(ji) = zqfont_bo(ji) * r1_rdtice ! heat conservation test 470 zdq_i(ji) = 0._wp 471 dh_i_bott(ji) = 0._wp 472 ENDIF 473 END DO 474 475 DO jk = nlay_i, 1, -1 476 DO ji = kideb, kiut 477 IF( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) >= 0._wp ) THEN 478 ztmelts = - tmut * s_i_b(ji,jk) + rtt 479 IF( t_i_b(ji,jk) >= ztmelts ) THEN !!gm : a comment is needed 480 zdeltah (ji,jk) = - zh_i(ji) 481 dh_i_bott (ji ) = dh_i_bott(ji) + zdeltah(ji,jk) 482 zinnermelt(ji ) = 1._wp 483 ELSE ! normal ablation 484 zdeltah (ji,jk) = - zqfont_bo(ji) / q_i_b(ji,jk) 485 zqfont_bo(ji ) = MAX( 0.0 , - zh_i(ji) - zdeltah(ji,jk) ) * q_i_b(ji,jk) 486 zdeltah (ji,jk) = MAX(zdeltah(ji,jk), - zh_i(ji) ) 487 dh_i_bott(ji ) = dh_i_bott(ji) + zdeltah(ji,jk) 488 zdq_i (ji ) = zdq_i(ji) + zdeltah(ji,jk) * q_i_b(ji,jk) * r1_rdtice 489 ENDIF 490 ! clem: contribution to salt flux 491 sfx_thd_1d(ji) = sfx_thd_1d(ji) - sm_i_b(ji) * a_i_b(ji) & 492 & * MIN( zdeltah(ji,jk) , 0._wp ) * rhoic * r1_rdtice 493 ENDIF 494 END DO ! ji 495 END DO ! jk 496 497 ! !------------------- 498 IF( con_i .AND. jiindex_1d > 0 ) THEN ! Conservation test 499 ! !------------------- 500 DO ji = kideb, kiut 501 IF( ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) ) >= 0.e0 ) THEN 502 IF( ( zfbase(ji) + zdq_i(ji) ) >= 1.e-3 ) THEN 503 numce_dh = numce_dh + 1 504 meance_dh = meance_dh + zfbase(ji) + zdq_i(ji) 505 ENDIF 506 IF ( zfbase(ji) + zdq_i(ji) .GE. 1.0e-3 ) THEN 507 WRITE(numout,*) ' ALERTE heat loss for basal melt : ii, ij, jl :', ii, ij, jl 508 WRITE(numout,*) ' ht_i_b : ', ht_i_b(ji) 509 WRITE(numout,*) ' zfbase : ', zfbase(ji) 510 WRITE(numout,*) ' zdq_i : ', zdq_i(ji) 511 WRITE(numout,*) ' ht_i_b : ', ht_i_b(ji) 512 WRITE(numout,*) ' fc_bo_i : ', fc_bo_i(ji) 513 WRITE(numout,*) ' fbif_1d : ', fbif_1d(ji) 514 WRITE(numout,*) ' qlbbq_1d : ', qlbbq_1d(ji) 515 WRITE(numout,*) ' s_i_new : ', s_i_new(ji) 516 WRITE(numout,*) ' sss_m : ', sss_m(ii,ij) 517 WRITE(numout,*) ' dh_i_bott : ', dh_i_bott(ji) 518 WRITE(numout,*) ' innermelt : ', INT( zinnermelt(ji) ) 519 ENDIF 520 ENDIF 521 END DO 522 IF( numce_dh > 0 ) meance_dh = meance_dh / numce_dh 523 WRITE(numout,*) ' Number of points where there is bas. me. error : ', numce_dh 524 WRITE(numout,*) ' Mean basal melt error on error points : ', meance_dh 525 WRITE(numout,*) ' Remaining bottom heat : ', zqfont_bo(jiindex_1d) 526 ! 527 ENDIF 528 529 ! 530 !------------------------------------------------------------------------------! 531 ! 5) Pathological cases ! 532 !------------------------------------------------------------------------------! 533 ! 534 !---------------------------------------------- 535 ! 5.1 Excessive ablation in a 1-category model 536 !---------------------------------------------- 537 538 DO ji = kideb, kiut 539 ! ! in a 1-category sea ice model, bottom ablation must not exceed hmelt (-0.15) 540 IF( jpl == 1 ) THEN ; zdhbf = MAX( hmelt , dh_i_bott(ji) ) 541 ELSE ; zdhbf = dh_i_bott(ji) 542 ENDIF 543 zdvres = zdhbf - dh_i_bott(ji) 544 dh_i_bott(ji) = zdhbf 545 sfx_thd_1d(ji) = sfx_thd_1d(ji) - sm_i_b(ji) * a_i_b(ji) * zdvres * rhoic * r1_rdtice 546 ! ! excessive energy is sent to lateral ablation 547 zinda = MAX( 0._wp, SIGN( 1._wp , 1.0 - at_i_b(ji) - epsi10 ) ) 548 fsup(ji) = zinda * rhoic * lfus * at_i_b(ji) / MAX( 1.0 - at_i_b(ji) , epsi10 ) * zdvres * r1_rdtice 549 END DO 550 551 !----------------------------------- 552 ! 5.2 More than available ice melts 553 !----------------------------------- 554 ! then heat applied minus heat content at previous time step should equal heat remaining 555 ! 556 DO ji = kideb, kiut 557 ! Adapt the remaining energy if too much ice melts 558 !-------------------------------------------------- 559 zdvres = MAX( 0._wp, - ht_i_b(ji) - dh_i_surf(ji) - dh_i_bott(ji) ) 560 zdvsur = MIN( 0._wp, dh_i_surf(ji) + zdvres ) - dh_i_surf(ji) ! fill the surface first 561 zdvbot = MAX( 0._wp, zdvres - zdvsur ) ! then the bottom 562 dh_i_surf (ji) = dh_i_surf(ji) + zdvsur ! clem 563 dh_i_bott (ji) = dh_i_bott(ji) + zdvbot ! clem 564 565 ! new ice thickness (clem) 566 zhgnew(ji) = ht_i_b(ji) + dh_i_surf(ji) + dh_i_bott(ji) 567 zihgnew = 1.0 - MAX( zzero , SIGN( zone , - zhgnew(ji) ) ) !1 if ice 568 zhgnew(ji) = zihgnew * zhgnew(ji) ! ice thickness is put to 0 569 570 ! !since ice volume is only used for outputs, we keep it global for all categories 571 dvbbq_1d (ji) = a_i_b(ji) * dh_i_bott(ji) 572 573 ! remaining heat 574 zfdt_final(ji) = ( 1.0 - zihgnew ) * ( zqfont_su(ji) + zqfont_bo(ji) ) 575 576 ! If snow remains, energy is used to melt snow 577 zhni = ht_s_b(ji) ! snow depth at previous time step 578 zihg = MAX( zzero , SIGN ( zone , - ht_s_b(ji) ) ) ! =0 if snow 579 580 ! energy of melting of remaining snow 581 zinda = MAX( 0._wp, SIGN( 1._wp , zhni - epsi10 ) ) 582 zqt_s(ji) = ( 1. - zihg ) * zqt_s(ji) / MAX( zhni, epsi10 ) * zinda 583 zdhnm = - ( 1. - zihg ) * ( 1. - zihgnew ) * zfdt_final(ji) / MAX( zqt_s(ji) , epsi13 ) 584 zhnfi = zhni + zdhnm 585 zfdt_final(ji) = MAX( zfdt_final(ji) + zqt_s(ji) * zdhnm , 0.0 ) 586 ht_s_b(ji) = MAX( zzero , zhnfi ) 587 zqt_s(ji) = zqt_s(ji) * ht_s_b(ji) 588 ! we recompute dh_s_tot (clem) 589 dh_s_tot (ji) = ht_s_b(ji) - zhsold(ji) 590 591 ! Mass variations of ice and snow 592 !--------------------------------- 593 ! ! mass variation of the jl category 594 zzfmass_s = - a_i_b(ji) * ( zhni - ht_s_b(ji) ) * rhosn ! snow 595 zzfmass_i = a_i_b(ji) * ( zhgnew(ji) - ht_i_b(ji) ) * rhoic ! ice 596 ! 597 zfmass_i(ji) = zzfmass_i ! ice variation saved to compute salt flux (see below) 598 ! 599 ! ! mass variation cumulated over category 600 !clem rdm_snw_1d(ji) = rdm_snw_1d(ji) + zzfmass_s ! snow 601 !clem rdm_ice_1d(ji) = rdm_ice_1d(ji) + zzfmass_i ! ice 602 603 ! Remaining heat to the ocean 604 !--------------------------------- 605 focea(ji) = - zfdt_final(ji) * r1_rdtice ! focea is in W.m-2 * dt 606 607 ! residual salt flux (clem) 608 !-------------------------- 609 ! surface 610 sfx_thd_1d(ji) = sfx_thd_1d(ji) - sm_i_b(ji) * a_i_b(ji) * zdvsur * rhoic * r1_rdtice 611 ! bottom 612 IF ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) >= 0._wp ) THEN ! melting 613 sfx_thd_1d(ji) = sfx_thd_1d(ji) - sm_i_b(ji) * a_i_b(ji) * zdvbot * rhoic * r1_rdtice 614 ELSE ! growth 615 sfx_thd_1d(ji) = sfx_thd_1d(ji) - s_i_new(ji) * a_i_b(ji) * zdvbot * rhoic * r1_rdtice 616 ENDIF 617 ! 618 ! diagnostic 619 ii = MOD( npb(ji) - 1, jpi ) + 1 620 ij = ( npb(ji) - 1 ) / jpi + 1 621 diag_bot_gr(ii,ij) = diag_bot_gr(ii,ij) + MAX(dh_i_bott(ji),0.0)*a_i_b(ji) * r1_rdtice 622 diag_sur_me(ii,ij) = diag_sur_me(ii,ij) + MIN(dh_i_surf(ji),0.0)*a_i_b(ji) * r1_rdtice 623 diag_bot_me(ii,ij) = diag_bot_me(ii,ij) + MIN(dh_i_bott(ji),0.0)*a_i_b(ji) * r1_rdtice 624 END DO 625 626 ftotal_fin (:) = zfdt_final(:) * r1_rdtice 627 628 !--------------------------- 629 ! heat fluxes 630 !--------------------------- 631 DO ji = kideb, kiut 632 zihgnew = 1.0 - MAX( zzero , SIGN( zone , - zhgnew(ji) ) ) ! =1 if ice 633 ! 634 ! Heat flux 635 ! excessive bottom ablation energy (fsup) - 0 except if jpl = 1 636 ! excessive total ablation energy (focea) sent to the ocean 637 qfvbq_1d(ji) = qfvbq_1d(ji) + fsup(ji) + ( 1.0 - zihgnew ) * focea(ji) * a_i_b(ji) * rdt_ice 638 639 zihic = 1.0 - MAX( zzero , SIGN( zone , -ht_i_b(ji) ) ) ! equals 0 if ht_i = 0, 1 if ht_i gt 0 640 fscbq_1d(ji) = a_i_b(ji) * fstbif_1d(ji) 641 qldif_1d(ji) = qldif_1d(ji) + fsup(ji) + ( 1.0 - zihgnew ) * focea (ji) * a_i_b(ji) * rdt_ice & 642 & + ( 1.0 - zihic ) * fscbq_1d(ji) * rdt_ice 643 END DO ! ji 644 645 !------------------------------------------- 646 ! Correct temperature, energy and thickness 647 !------------------------------------------- 648 DO ji = kideb, kiut 649 zihgnew = 1.0 - MAX( zzero , SIGN( zone , - zhgnew(ji) ) ) 650 t_su_b(ji) = zihgnew * t_su_b(ji) + ( 1.0 - zihgnew ) * rtt 651 END DO ! ji 652 653 DO jk = 1, nlay_i 654 DO ji = kideb, kiut 655 zihgnew = 1.0 - MAX( zzero , SIGN( zone , - zhgnew(ji) ) ) 656 t_i_b(ji,jk) = zihgnew * t_i_b(ji,jk) + ( 1.0 - zihgnew ) * rtt 657 q_i_b(ji,jk) = zihgnew * q_i_b(ji,jk) 658 END DO 659 END DO ! ji 660 661 DO ji = kideb, kiut 662 ht_i_b(ji) = zhgnew(ji) 663 END DO ! ji 622 !------------------------------------------- 623 ! Update temperature, energy 624 !------------------------------------------- 625 DO ji = kideb, kiut 626 ht_i_b(ji) = MAX( 0._wp , ht_i_b(ji) + dh_i_bott(ji) ) 627 END DO 628 629 !------------------------------------------- 630 ! 5. What to do with remaining energy 631 !------------------------------------------- 632 ! If heat still available for melting and snow remains, then melt more snow 633 !------------------------------------------- 634 zdeltah(:,:) = 0._wp ! important 635 DO ji = kideb, kiut 636 zq_rema(ji) = zq_su(ji) + zq_bo(ji) 637 ! zindh = 1._wp - MAX( 0._wp, SIGN( 1._wp, - ht_s_b(ji) ) ) ! =1 if snow 638 ! zindq = 1._wp - MAX( 0._wp, SIGN( 1._wp, - zq_s(ji) + epsi20 ) ) 639 ! zdeltah (ji,1) = - zindh * zindq * zq_rema(ji) / MAX( zq_s(ji), epsi20 ) 640 ! zdeltah (ji,1) = MIN( 0._wp , MAX( zdeltah(ji,1) , - ht_s_b(ji) ) ) ! bound melting 641 ! zdh_s_mel(ji) = zdh_s_mel(ji) + zdeltah(ji,1) 642 ! dh_s_tot (ji) = dh_s_tot(ji) + zdeltah(ji,1) 643 ! ht_s_b (ji) = ht_s_b(ji) + zdeltah(ji,1) 644 ! 645 ! zq_rema(ji) = zq_rema(ji) + zdeltah(ji,1) * zq_s(ji) ! update available heat (J.m-2) 646 ! ! Heat flux associated with snow melt 647 ! hfx_snw_1d(ji) = hfx_snw_1d(ji) + zdeltah(ji,1) * a_i_b(ji) * zq_s(ji) * r1_rdtice ! W.m-2 (<0) 648 ! ! heat used to melt snow 649 ! hfx_tot_1d(ji) = hfx_tot_1d(ji) - zdeltah(ji,1) * a_i_b(ji) * zq_s(ji) * r1_rdtice ! W.m-2 (>0) 650 ! ! Contribution to mass flux 651 ! wfx_snw_1d(ji) = wfx_snw_1d(ji) + rhosn * a_i_b(ji) * zdeltah(ji,1) * r1_rdtice 652 ! ! clem debug: variation of enthalpy (J.m-2) 653 ! dq_s(ji) = dq_s(ji) + zdeltah(ji,1) * q_s_b(ji,1) 654 ! 655 ii = MOD( npb(ji) - 1, jpi ) + 1 ; ij = ( npb(ji) - 1 ) / jpi + 1 656 ! Remaining heat flux (W.m-2) is sent to the ocean heat budget 657 hfx_out(ii,ij) = hfx_out(ii,ij) + ( zq_1cat(ji) + zq_rema(ji) * a_i_b(ji) ) * r1_rdtice 658 659 IF( ln_nicep .AND. zq_rema(ji) < 0. .AND. lwp ) WRITE(numout,*) 'ALERTE zq_rema <0 = ', zq_rema(ji) 660 END DO 661 664 662 ! 665 663 !------------------------------------------------------------------------------| … … 670 668 DO ji = kideb, kiut 671 669 ! 672 dh_snowice(ji) = MAX( zzero , ( rhosn * ht_s_b(ji) + (rhoic-rau0) * ht_i_b(ji) ) / ( rhosn+rau0-rhoic ) ) 673 zhgnew(ji) = MAX( zhgnew(ji) , zhgnew(ji) + dh_snowice(ji) ) 674 zhnnew = MIN( ht_s_b(ji) , ht_s_b(ji) - dh_snowice(ji) ) 675 676 ! Changes in ice volume and ice mass. 677 dvnbq_1d (ji) = a_i_b(ji) * ( zhgnew(ji)-ht_i_b(ji) ) 678 dmgwi_1d (ji) = dmgwi_1d(ji) + a_i_b(ji) * ( ht_s_b(ji) - zhnnew ) * rhosn 679 680 !clem rdm_ice_1d(ji) = rdm_ice_1d(ji) + a_i_b(ji) * ( zhgnew(ji) - ht_i_b(ji) ) * rhoic 681 !clem rdm_snw_1d(ji) = rdm_snw_1d(ji) + a_i_b(ji) * ( zhnnew - ht_s_b(ji) ) * rhosn 682 683 ! Equivalent salt flux (1) Snow-ice formation component 684 ! ----------------------------------------------------- 685 ii = MOD( npb(ji) - 1, jpi ) + 1 686 ij = ( npb(ji) - 1 ) / jpi + 1 687 688 IF( num_sal == 2 ) THEN ; zsm_snowice = sss_m(ii,ij) * ( rhoic - rhosn ) / rhoic 689 ELSE ; zsm_snowice = sm_i_b(ji) 690 ENDIF 670 dh_snowice(ji) = MAX( 0._wp , ( rhosn * ht_s_b(ji) + (rhoic-rau0) * ht_i_b(ji) ) / ( rhosn+rau0-rhoic ) ) 671 672 ht_i_b(ji) = ht_i_b(ji) + dh_snowice(ji) 673 ht_s_b(ji) = ht_s_b(ji) - dh_snowice(ji) 674 675 ! Salinity of snow ice 676 ii = MOD( npb(ji) - 1, jpi ) + 1 ; ij = ( npb(ji) - 1 ) / jpi + 1 677 zs_snic = zswitch_sal * sss_m(ii,ij) * ( rhoic - rhosn ) / rhoic + ( 1. - zswitch_sal ) * sm_i_b(ji) 678 691 679 ! entrapment during snow ice formation 692 ! clem:new salinity difference stored (to be used in limthd_ent.F90)680 ! new salinity difference stored (to be used in limthd_ent.F90) 693 681 IF ( num_sal == 2 ) THEN 694 i_ice_switch = MAX( 0._wp , SIGN( 1._wp , zhgnew(ji) - epsi10 ) )682 i_ice_switch = MAX( 0._wp , SIGN( 1._wp , ht_i_b(ji) - epsi10 ) ) 695 683 ! salinity dif due to snow-ice formation 696 dsm_i_si_1d(ji) = ( zs m_snowice - sm_i_b(ji) ) * dh_snowice(ji) / MAX( zhgnew(ji), epsi10 ) * i_ice_switch684 dsm_i_si_1d(ji) = ( zs_snic - sm_i_b(ji) ) * dh_snowice(ji) / MAX( ht_i_b(ji), epsi10 ) * i_ice_switch 697 685 ! salinity dif due to bottom growth 698 IF ( fc_bo_i(ji) + fbif_1d(ji) + qlbbq_1d(ji) < 0._wp ) THEN699 dsm_i_se_1d(ji) = ( s_i_new(ji) - sm_i_b(ji) ) * dh_i_bott(ji) / MAX( zhgnew(ji), epsi10 ) * i_ice_switch686 IF ( zf_tt(ji) < 0._wp ) THEN 687 dsm_i_se_1d(ji) = ( s_i_new(ji) - sm_i_b(ji) ) * dh_i_bott(ji) / MAX( ht_i_b(ji), epsi10 ) * i_ice_switch 700 688 ENDIF 701 689 ENDIF 702 690 703 ! Actualize new snow and ice thickness. 704 ht_s_b(ji) = zhnnew 705 ht_i_b(ji) = zhgnew(ji) 706 707 ! Total ablation ! new lines added to debug 691 ! Contribution to energy flux to the ocean [J/m2], >0 (if sst<0) 692 ii = MOD( npb(ji) - 1, jpi ) + 1 ; ij = ( npb(ji) - 1 ) / jpi + 1 693 zfmdt = ( rhosn - rhoic ) * MAX( dh_snowice(ji), 0._wp ) ! <0 694 zsstK = sst_m(ii,ij) + rt0 695 zEw = rcp * ( zsstK - rt0 ) 696 zQm = zfmdt * zEw 697 698 ! Contribution to heat flux 699 hfx_thd_1d(ji) = hfx_thd_1d(ji) + zfmdt * a_i_b(ji) * zEw * r1_rdtice 700 701 ! Contribution to salt flux 702 sfx_sni_1d(ji) = sfx_sni_1d(ji) + sss_m(ii,ij) * a_i_b(ji) * zfmdt * r1_rdtice 703 704 ! Contribution to mass flux 705 ! All snow is thrown in the ocean, and seawater is taken to replace the volume 706 wfx_sni_1d(ji) = wfx_sni_1d(ji) + a_i_b(ji) * dh_snowice(ji) * rhoic * r1_rdtice 707 wfx_snw_1d(ji) = wfx_snw_1d(ji) - a_i_b(ji) * dh_snowice(ji) * rhosn * r1_rdtice 708 709 ! clem debug: variation of enthalpy (J.m-2) 710 dq_s(ji) = dq_s(ji) - dh_snowice(ji) * q_s_b(ji,1) 711 dq_i(ji) = dq_i(ji) + dh_snowice(ji) * q_s_b(ji,1) + zfmdt * zEw 712 713 ! update heat content (J.m-2) and layer thickness 714 qh_i_old(ji,0) = qh_i_old(ji,0) + dh_snowice(ji) * q_s_b(ji,1) + zfmdt * zEw 715 h_i_old (ji,0) = h_i_old (ji,0) + dh_snowice(ji) 716 717 ! Total ablation (to debug) 708 718 IF( ht_i_b(ji) <= 0._wp ) a_i_b(ji) = 0._wp 709 719 710 ! diagnostic ( snow ice growth )711 ii = MOD( npb(ji) - 1, jpi ) + 1712 ij = ( npb(ji) - 1 ) / jpi + 1713 diag_sni_gr(ii,ij) = diag_sni_gr(ii,ij) + dh_snowice(ji)*a_i_b(ji) * r1_rdtice714 !715 ! salt flux716 sfx_thd_1d(ji) = sfx_thd_1d(ji) - zsm_snowice * a_i_b(ji) * dh_snowice(ji) * rhoic * r1_rdtice717 !--------------------------------718 ! Update mass fluxes (clem)719 !--------------------------------720 rdm_ice_1d(ji) = rdm_ice_1d(ji) + ( a_i_b(ji) * ht_i_b(ji) - zviold(ji) ) * rhoic721 rdm_snw_1d(ji) = rdm_snw_1d(ji) + ( a_i_b(ji) * ht_s_b(ji) - zvsold(ji) ) * rhosn722 723 720 END DO !ji 724 ! 725 CALL wrk_dealloc( jpij, zh_i, zh_s, ztfs, zhsold, zqprec, zqfont_su, zqfont_bo, z_f_surf, zhgnew, zfmass_i ) 726 CALL wrk_dealloc( jpij, zdh_s_mel, zdh_s_pre, zdh_s_sub, zfdt_init, zfdt_final, zqt_i, zqt_s, zqt_dummy ) 727 CALL wrk_dealloc( jpij, zinnermelt, zfbase, zdq_i ) 728 CALL wrk_dealloc( jpij, jkmax, zdeltah, zqt_i_lay ) 729 ! 730 CALL wrk_dealloc( jpij, zviold, zvsold ) ! clem 721 722 ! 723 !------------------------------------------- 724 ! Update temperature, energy 725 !------------------------------------------- 726 !clem bug: we should take snow into account here 727 DO ji = kideb, kiut 728 zindh = 1.0 - MAX( 0._wp , SIGN( 1._wp , - ht_i_b(ji) ) ) 729 t_su_b(ji) = zindh * t_su_b(ji) + ( 1.0 - zindh ) * rtt 730 END DO ! ji 731 732 DO jk = 1, nlay_s 733 DO ji = kideb,kiut 734 ! mask enthalpy 735 zinda = MAX( 0._wp , SIGN( 1._wp, - ht_s_b(ji) ) ) 736 q_s_b(ji,jk) = ( 1.0 - zinda ) * q_s_b(ji,jk) 737 ! recalculate t_s_b from q_s_b 738 t_s_b(ji,jk) = rtt + ( 1._wp - zinda ) * ( - q_s_b(ji,jk) / ( rhosn * cpic ) + lfus / cpic ) 739 END DO 740 END DO 741 742 CALL wrk_dealloc( jpij, zh_s, zqprec, zq_su, zq_bo, zf_tt, zq_1cat, zq_rema ) 743 CALL wrk_dealloc( jpij, zdh_s_mel, zdh_s_pre, zdh_s_sub, zqh_i, zqh_s, zq_s ) 744 CALL wrk_dealloc( jpij, zintermelt ) 745 CALL wrk_dealloc( jpij, jkmax, zdeltah, zh_i ) 746 CALL wrk_dealloc( jpij, icount ) 747 ! 731 748 ! 732 749 END SUBROUTINE lim_thd_dh
Note: See TracChangeset
for help on using the changeset viewer.
